The Local Langlands Conjecture For Gl 2

Autor: Colin J. Bushnell
Publisher: Springer Science & Business Media
ISBN: 354031511X
File Size: 13,14 MB
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The Local Langlands Conjecture for GL(2) contributes an unprecedented text to the so-called Langlands theory. It is an ambitious research program of already 40 years and gives a complete and self-contained proof of the Langlands conjecture in the case n=2. It is aimed at graduate students and at researchers in related fields. It presupposes no special knowledge beyond the beginnings of the representation theory of finite groups and the structure theory of local fields.

Glycemic Matrix Guide To Low Gi And Gl Eating

Autor: Richard A. Price
Publisher: Richard A. Price
ISBN: 9780741446916
File Size: 40,96 MB
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The Glycemic Matrix is a new paradigm which combines the glycemic index with the glycemic load in a gram of food. This maximizes hunger satisfaction while minimizing glycemic impact!

Automorphic Forms And L Functions For The Group Gl N R

Autor: Dorian Goldfeld
Publisher: Cambridge University Press
ISBN: 1139456202
File Size: 47,50 MB
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L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This 2006 book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with a basic knowledge of classical analysis, complex variable theory, and algebra. Also within the volume are many new results not yet found in the literature. The exposition provides complete detailed proofs of results in an easy-to-read format using many examples and without the need to know and remember many complex definitions. The main themes of the book are first worked out for GL(2,R) and GL(3,R), and then for the general case of GL(n,R). In an appendix to the book, a set of Mathematica functions is presented, designed to allow the reader to explore the theory from a computational point of view.

The Admissible Dual Of Gl N Via Compact Open Subgroups

Autor: Colin John Bushnell
Publisher: Princeton University Press
ISBN: 9780691021140
File Size: 21,94 MB
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This work gives a full description of a method for analyzing the admissible complex representations of the general linear group G = Gl(N, F) of a non-Archimedean local field F in terms of the structure of these representations when they are restricted to certain compact open subgroups of G. The authors define a family of representations of these compact open subgroups, which they call simple types. The first example of a simple type, the "trivial type," is the trivial character of an Iwahori subgroup of G. The irreducible representations of G containing the trivial simple type are classified by the simple modules over a classical affine Hecke algebra. Via an isomorphism of Hecke algebras, this classification is transferred to the irreducible representations of G containing a given simple type. This leads to a complete classification of the irreduc-ible smooth representations of G, including an explicit description of the supercuspidal representations as induced representations. A special feature of this work is its virtually complete reliance on algebraic methods of a ring-theoretic kind. A full and accessible account of these methods is given here.

Base Change For Gl 2

Autor: Robert P. Langlands
Publisher: Princeton University Press
ISBN: 9780691082721
File Size: 64,86 MB
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R. Langlands shows, in analogy with Artin's original treatment of one-dimensional p, that at least for tetrahedral p, L(s, p) is equal to the L-function L(s, ?) attached to a cuspdidal automorphic representation of the group GL(2, /A), /A being the adéle ring of the field, and L(s, ?), whose definition is ultimately due to Hecke, is known to be entire. The main result, from which the existence of ? follows, is that it is always possible to transfer automorphic representations of GL(2) over one number field to representations over a cyclic extension of the field. The tools he employs here are the trace formula and harmonic analysis on the group GL(2) over a local field.

God In Patristic Thought

Autor: G. L. Prestige
Publisher: Wipf and Stock Publishers
ISBN: 1556357796
File Size: 33,44 MB
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This book assembles the evidence for what the Greek Fathers, the men whose contructive thought underlies the creeds, really thought and taught about the nature of God. It shows that they were original thinkers, with a profound reverence for the text of the Scriptures, and minds keenly tranined to discuss what ultimate truths were expressed in the scriptural text and what reality should be ascribed to Christian religious experience. The results indicate that a good deal which is assumed in current theological text-books needs to be revised. The Fathers had to reconcile monotheism with faith in a Trinity of divine Persons. In the process, they pursued many lines of inquiry, often only to discard them after trial, but after following various clues and making various intellectual adventures they reached a solution of the problem, which was both true to their data and philosophically reasonable. Though the bulk of the book is concerned with the third and fourth centuries, during which the creeds were in the process of formulation, the story is carried down to the eighth century where the progress of original thought came to a standstill. It is shown that a great change came over the philosophical tradition during the sixth century, and owing to the consequent growth of formalism, a genuine outbreak of tritheism occurred. The book ends with the account of how this outbreak was met and overcome, largely through the efforts of a thinker whose very name is unknown, and whose book has only survived under the name of another man.

Solving Single

Autor: G.L. Lambert
Publisher:
ISBN: 9780615863832
File Size: 68,65 MB
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You are the type of woman a man marries... Yet you settle for being just another girl men string along. Regardless of what commitment level you find yourself in, if you have yet to receive the ultimate commitment from the man you want, you are still SINGLE. Stop waiting for a man to ask you out. Stop waiting for a man to make your relationship exclusive. Stop waiting for a man to reward your loyalty with an engagement ring. Stop waiting, period! Learn to free yourself from relationship purgatory and get the lasting commitment you deserve. Solving Single is a system that will eliminate your relationship problems by breaking years of habits, erasing preconceived notions, and unlocking the power every woman has over every man. Solving Single is the key that will unlock the male mind, allowing you to instantly get noticed by any man, sidestep manipulation from those who just want sex, and attain a legitimate romance. There is no need to think like a man, lower your standards, or play his game. Solving Single will show you how to win on your own terms no matter what faults you think you possess. Stop waiting for your love life to fix itself and learn the definite steps to solving single.

The Gl Diet For Dummies

Autor: Nigel Denby
Publisher: John Wiley & Sons
ISBN: 1119998034
File Size: 16,37 MB
Format: PDF
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If you’re sick of no-carb diets, or just looking for a healthy eating plan, then the GL Diet is for you. No more calculations, no calorie-counting and no more cravings for carbs – as long as you stick to foods that are low in GL, you can stay healthy and lose weight without having to go without. The GL Diet For Dummies explains the science behind the plan, helps you to incorporate GL into your everyday life and gives readers 80 recipes to try.

My New Glasses

Autor: Dina Santos
Publisher: The Rosen Publishing Group, Inc
ISBN: 9780823959457
File Size: 69,84 MB
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This book teaches facts while incorporating the fundamentals of phonemic patterns and usage